Evaluate
8+5x-12x^{2}
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8+5x-12x^{2}
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2x-6x^{2}+2-3\left(2x^{2}-x-2\right)
Use the distributive property to multiply 2 by x-3x^{2}+1.
2x-6x^{2}+2-6x^{2}+3x+6
Use the distributive property to multiply -3 by 2x^{2}-x-2.
2x-12x^{2}+2+3x+6
Combine -6x^{2} and -6x^{2} to get -12x^{2}.
5x-12x^{2}+2+6
Combine 2x and 3x to get 5x.
5x-12x^{2}+8
Add 2 and 6 to get 8.
2x-6x^{2}+2-3\left(2x^{2}-x-2\right)
Use the distributive property to multiply 2 by x-3x^{2}+1.
2x-6x^{2}+2-6x^{2}+3x+6
Use the distributive property to multiply -3 by 2x^{2}-x-2.
2x-12x^{2}+2+3x+6
Combine -6x^{2} and -6x^{2} to get -12x^{2}.
5x-12x^{2}+2+6
Combine 2x and 3x to get 5x.
5x-12x^{2}+8
Add 2 and 6 to get 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}